Finding the depth

Question

The velocity v (in meters pers second) of a tsunami can be modeled by the function v(x)= (square Root) 9.8x, where x is the water depth(in meters). At what depth does the velocity of the tsunami exceed 150 meters per second? Round your answer to the nearest meter.

Answer 1

v(x) = √(9.8x)

Set v(x) = 150 and solve for x.

√(9.8x) = 150

9.8x = (150)²

x = (150)² / 9.8 m = ? m

If the depth exceeds the result for x above, the speed will exceed 150 m/s.